GCF of 7185/261, 1242/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7185/261, 1242/705 i.e 3/61335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7185/261, 1242/705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7185/261,1242/705?
Given fractions are 7185/261,1242/705
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7185/261,1242/705, numerators are 7185,1242
Denominators are 261,705
The GCF of 7185,1242 is 3 .
LCM of 261,705 is 61335.
The greatest common factor of 7185/261,1242/705 = [GCF of 7185,1242]/[LCM of 261,705]= 3/61335
Therefore, the GCF of 7185/261,1242/705 is 3/61335.
To find the highest common factor of 7185,1242, we have to find the factors of both numbers and list the highest common factor.
The factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185
The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242
The HCF of 7185,1242 is 3.
Lets's calculate GCF of 7185,1242
| 3 | 7185, 1242 |
| 2395, 414 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7185,1242 By Matching Biggest Common Factor Method
Now, list down the factors of 7185
:1,3,5,15,479,1437,2395,7185
Now, list down the factors of 1242
:1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Greatest Common Factor
We found the factors 7185,1242 . The biggest common factor number is the GCF number.
So the greatest common factor 7185,1242 is 3.
Lets's calculate LCM of 261,705
| 3 | 261, 705 |
| 87, 235 |
∴ So the LCM of the given numbers is 3 x 87 x 235 = 61335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/61335
Therefore, the GCF of Fractions 7185/261,1242/705 is 3/61335
Least Common Multiple of 261,705 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 261,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,705) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,705) x common factors =3 x 1 = 3
LCM(261,705) = ( 261 × 705 ) / 3
LCM(261,705) = 184005 / 3
LCM(261,705) = 61335
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FAQs on GCF of Fractions of 7185/261, 1242/705
1. What is the HCF of 7185,1242?
The HCF of 7185,1242 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7185/261, 1242/705?
Answer: GCF of Numerators as per given numbers 7185/261, 1242/705 is
GCF of Numerators i.e. for 7185,1242 is 3
LCM of denominators i.e. for 261,705 is 61335.
Thus, GCF of Fractions is 3/61335.Finally, GCF of Fractions for 7185/261, 1242/705 is 3/61335.